1. Home
  2. Chapter 12: Stress Transformations
  3. M12.6: Derivation of Stress Transform Equations
Table of Contents  
  • Introduction
  • Table of Contents
  • Normal Stress Equilibrium Considerations
  • Shear Stress Equilibrium Considerations
  • τxy = τyx
  • ntz Coordinate System
  • Areas of the Triangular Stress Element
  • Free-Body Diagram of Triangular Stress Element
  • σn Stress Transformation Equation
  • τnt Stress Transformation Equation
  • Transformation Equations in Terms of Double Angles
  • Finished
scene 2 of 12

This movie is organized in 12 scenes.

  • Scene 1:Introduction.
  • Scene 2:Table of Contents.
  • Scene 3:Equilibrium For an Element Subjected Solely to Normal Stresses.
  • Scene 4:Equilibrium For an Element Subjected Solely to Shear Stresses.
  • Scene 5:Demonstrate that τxy = τyx.
  • Scene 6:Definition of Normal and Tangential Coordinate Axes.
  • Scene 7:Areas For the Faces of a Triangular Stress Element.
  • Scene 8:Free-Body Diagram of a Triangular Stress Element.
  • Scene 9:Derivation of Normal Stress Transformation Equation.
  • Scene 10:Derivation of Shear Stress Transformation Equation.
  • Scene 11:Transformation Equations Expressed in Terms of Double Angle Trigonometric Functions.
  • Scene 12:End of Movie.

To skip directly to a particular scene, select it from drop down menu above.

 

MecMovies logo
MecMovies 4.0
MecMovies © Timothy A. Philpot 2001-2016